[BOOK][B] Game-theoretical models in biology

M Broom, J Rychtář - 2022 - taylorfrancis.com
Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology,
Second Edition presents both abstract and practical mathematical models of real biological …

Fast and strong amplifiers of natural selection

J Tkadlec, A Pavlogiannis, K Chatterjee… - Nature …, 2021 - nature.com
Selection and random drift determine the probability that novel mutations fixate in a
population. Population structure is known to affect the dynamics of the evolutionary process …

Population structure determines the tradeoff between fixation probability and fixation time

J Tkadlec, A Pavlogiannis, K Chatterjee… - Communications …, 2019 - nature.com
The rate of biological evolution depends on the fixation probability and on the fixation time of
new mutants. Intensive research has focused on identifying population structures that …

Evolutionary dynamics of mutants that modify population structure

J Tkadlec, K Kaveh, K Chatterjee… - Journal of the Royal …, 2023 - royalsocietypublishing.org
Natural selection is usually studied between mutants that differ in reproductive rate, but are
subject to the same population structure. Here we explore how natural selection acts on …

Limits on amplifiers of natural selection under death-Birth updating

J Tkadlec, A Pavlogiannis, K Chatterjee… - PLoS computational …, 2020 - journals.plos.org
The fixation probability of a single mutant invading a population of residents is among the
most widely-studied quantities in evolutionary dynamics. Amplifiers of natural selection are …

Construction of arbitrarily strong amplifiers of natural selection using evolutionary graph theory

A Pavlogiannis, J Tkadlec, K Chatterjee… - Communications …, 2018 - nature.com
Because of the intrinsic randomness of the evolutionary process, a mutant with a fitness
advantage has some chance to be selected but no certainty. Any experiment that searches …

Coexistence times in the Moran process with environmental heterogeneity

J Svoboda, J Tkadlec, K Kaveh… - Proceedings of the …, 2023 - royalsocietypublishing.org
Populations evolve in spatially heterogeneous environments. While a certain trait might
bring a fitness advantage in some patch of the environment, a different trait might be …

Fixation dynamics on hypergraphs

R Liu, N Masuda - PLoS Computational Biology, 2023 - journals.plos.org
Hypergraphs have been a useful tool for analyzing population dynamics such as opinion
formation and the public goods game occurring in overlap** groups of individuals. In the …

Density amplifiers of cooperation for spatial games

J Svoboda, K Chatterjee - Proceedings of the National Academy of …, 2024 - pnas.org
Spatial games provide a simple and elegant mathematical model to study the evolution of
cooperation in networks. In spatial games, individuals reside in vertices, adopt simple …

Amplification on undirected population structures: comets beat stars

A Pavlogiannis, J Tkadlec, K Chatterjee, MA Nowak - Scientific reports, 2017 - nature.com
The fixation probability is the probability that a new mutant introduced in a homogeneous
population eventually takes over the entire population. The fixation probability is a …